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211222221110012 = 227531316171760959
BaseRepresentation
bin110000000001101100000001…
…011101010011101011111100
31000200212122110202111202202202
4300001230001131103223330
5210141131102101010022
62025122052050411032
762330205355002350
oct6001540135235374
91020778422452682
10211222221110012
11613359282a0292
121b834346590a78
1390b22295bcab8
143a232d2537460
151964594925592
hexc01b01753afc

211222221110012 has 96 divisors (see below), whose sum is σ = 434403868631040. Its totient is φ = 87994930383360.

The previous prime is 211222221109993. The next prime is 211222221110111. The reversal of 211222221110012 is 210011122222112.

It is a super-2 number, since 2×2112222211100122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119066789 + ... + 120827747.

It is an arithmetic number, because the mean of its divisors is an integer number (4525040298240).

Almost surely, 2211222221110012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222221110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217201934315520).

211222221110012 is an abundant number, since it is smaller than the sum of its proper divisors (223181647521028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211222221110012 is a wasteful number, since it uses less digits than its factorization.

211222221110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761771 (or 1761769 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211222221110012 its reverse (210011122222112), we get a palindrome (421233343332124).

The spelling of 211222221110012 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred ten thousand, twelve".

Divisors: 1 2 4 7 14 28 53 106 131 212 262 371 524 617 742 917 1234 1484 1834 2468 3668 4319 6943 8638 13886 17276 27772 32701 48601 65402 80827 97202 130804 161654 194404 228907 323308 457814 565789 915628 1131578 1760959 2263156 3521918 4283831 7043836 8567662 12326713 17135324 24653426 29986817 49306852 59973634 93330827 119947268 186661654 230685629 373323308 461371258 653315789 922742516 1086511703 1306631578 1614799403 2173023406 2613263156 3229598806 4346046812 6459197612 7605581921 12226338337 15211163842 24452676674 30422327684 48905353348 57585120259 85584368359 115170240518 142333033093 171168736718 230340481036 284666066186 342337473436 403095841813 569332132372 806191683626 996331231651 1612383367252 1992662463302 3985324926604 7543650753929 15087301507858 30174603015716 52805555277503 105611110555006 211222221110012